7826472 has 48 divisors (see below), whose sum is σ = 21509280. Its totient is φ = 2570400.

The previous prime is 7826459. The next prime is 7826513. The reversal of 7826472 is 2746287.

7826472 is a `hidden beast` number, since 7 + 8 + 2 + 647 + 2 = 666.

7826472 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7826472² = 122507327933568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4347 + ... + 5877.

It is an arithmetic number, because the mean of its divisors is an integer number (448110).

Almost surely, 2^7826472 is an apocalyptic number.

7826472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7826472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754640).

7826472 is an abundant number, since it is smaller than the sum of its proper divisors (13682808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7826472 is a wasteful number, since it uses less digits than its factorization.

7826472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1607 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 7826472 is about 2797.5832427293. The cubic root of 7826472 is about 198.5433499427.

The spelling of 7826472 in words is "seven million, eight hundred twenty-six thousand, four hundred seventy-two".